Approximations for the Distribution and the Moments of Discrete Scan Statistics
Jie Chen, Joseph Glaz · Birkhäuser Boston eBooks · 1999
LetX 1 ... X N be a sequence of independent and identically distributed nonnegative integer valued random variables. For 2 ≤ m ≤ N, consider the moving sums of m consecutive observations. The discrete scan statistic is defined as the maximum value of these moving sums. Conditional on the sum of all the observations, we refer to this scan statistic as the conditional scan statistic.